.5(2x-10)+4x=3(.5x+4)

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Solution for .5(2x-10)+4x=3(.5x+4) equation:


Simplifying
0.5(2x + -10) + 4x = 3(0.5x + 4)

Reorder the terms:
0.5(-10 + 2x) + 4x = 3(0.5x + 4)
(-10 * 0.5 + 2x * 0.5) + 4x = 3(0.5x + 4)
(-5 + 1x) + 4x = 3(0.5x + 4)

Combine like terms: 1x + 4x = 5x
-5 + 5x = 3(0.5x + 4)

Reorder the terms:
-5 + 5x = 3(4 + 0.5x)
-5 + 5x = (4 * 3 + 0.5x * 3)
-5 + 5x = (12 + 1.5x)

Solving
-5 + 5x = 12 + 1.5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.5x' to each side of the equation.
-5 + 5x + -1.5x = 12 + 1.5x + -1.5x

Combine like terms: 5x + -1.5x = 3.5x
-5 + 3.5x = 12 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-5 + 3.5x = 12 + 0.0
-5 + 3.5x = 12

Add '5' to each side of the equation.
-5 + 5 + 3.5x = 12 + 5

Combine like terms: -5 + 5 = 0
0 + 3.5x = 12 + 5
3.5x = 12 + 5

Combine like terms: 12 + 5 = 17
3.5x = 17

Divide each side by '3.5'.
x = 4.857142857

Simplifying
x = 4.857142857

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